x^(2)+16x+28=0 complete the square
Answer:
(x + 8)² = 36
Step-by-step explanation:
When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.
x² + 16x + 28 = 0
x² + 16x + 28 - 28 = 0 -28
x² + 16x = -28
Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.
x² + 16x + 64 = -28 + 64
x² + 16x + 64 = 36
Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.
(x + 8)² = 36
please help me fill in the blank
Answer: X = 5
Step-by-step explanation: Since a square has all equal sides, and area is just length times width, the other side has to be five. If you REALLY feel the need to check my work just do 5x5.
Carly is ordering candles online.
Answer:
Is that the whole question or....
what is 1 5/8 rounded to the nearest half A.1 B.1 1/2 C.2 D.2 1/2
Answer: B
Step-by-step explanation:
HAVE A BLESSED DAY
Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2
square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?
Answer:
25 1/2 square meters remaining
Step-by-step explanation:
Total area of the pool deck=76 1/2 square meters
He painted 2/3 of the deck before stopping for lunch
Total painted=2/3 of 76 1/2
=2/3*153/2
=306/6
=51 square meters
Total remaining=Total area - total painted area
=76 1/2 - 51
=153/2 - 51
=153-102/2
=51/2
=25 1/2 square meters remaining
Which answer choice shows 15.067 rounded to the nearest hundredth?
A. 15.07
B. 15.06
C. 15.1
D. 15.0
Which of the following numbers can be expressed as a decimal that terminates? (5 points)
3 over 2 , 2 over 3 , 3 over 4 , 5 over 7
3 over 2 and 2 over 3
3 over 4 and 5 over 7
3 over 2 and 3 over 4
2 over 3 and 5 over 7
Answer:
3 over 2 = 1.5
3 over 4 = 0.75
3 over 2 and 3 over 4 = 2.25
Step-by-step explanation:
Answer:
3 over 2 and 3 over 4
Step-by-step explanation:
that it
En Faiz deposits a sum of Rm 18000 in a bank with interest rate of 4.5% per annum and compounded
once every 4 months. Find En Faiz's total savings at the end of the year.
Answer:
4.5 divide 100 x RM18000
4.5% is 810
810 x 3 = RM2430
RM 2430 is the total savings at the end of the year
Will mark brainliest if I can.
Answer:
(0, -4)
(2,0)
Step-by-step explanation:
Basically x intercept is (0, -4)
Y intercept is (2, 0)
Hope I helped!
Solve for x:
( x - 2 ) ( x + 3 ) ( 2x - 7 ) = 0
Answer:
x=2, x=-3, or x=3.5
Step-by-step explanation:
Make them all in 3 equations equal to 0. The number of brackets, the number of equations.
Hi, could any one explain how to find the amount of prime numbers between numbers?
Answer:
The answer is below
Step-by-step explanation:
So first to find a prime number, you need to know some multiplication skills.
So prime number is a number that is only divisible by itself or 1.
______
For example
3 is a prime number because it can't be divisible by any number
but
9 is not a prime number, because it can be divisible by 3
3 x 3 = 9
______________________
So you get it now
Now if you get a some number between 1 - 10
you have to use your multiplication skills to see if there are any prime numbers.
_____________________________
so
1 - not a prime number, can't be divisible by any number.
2 - not a prime number, can't be divisible by any number.
3 - not a prime number, can't be divisible by any number
4 - is a prime number, can be divisible a number (2 x 2 = 4)
5 - not a prime number, can't be divisible by any number
6 - is a prime number, can be divisible a number (3 x 2 = 6)
7 - not a prime number, can't be divisible by any number
8 - is a prime number, can be divisible a number (4 x 2 = 8)
9 - is a prime number, can be divisible a number (3 x 3 = 9)
10 - is a prime number, can be divisible a number (5 x 2 = 10)
__________________________________________________________
Laura has to three cats: The ratio of Socks weight to princess weight is 4:5 The ratio of princesses weight to Luna's weight is 6 :7. What is the ratio of socks weight to Luna's weight?
Answer:
s : l = 24 : 35
Step-by-step explanation:
Let
Socks weight = s
Princess weight = p
Luna's weight = l
The ratio of Socks weight to princess weight is 4:5
s : p = 4 : 5
s / p = 4 / 5
The ratio of princesses weight to Luna's weight is 6 :7
p : l = 6 : 7
p / l = 6 / 7
What is the ratio of socks weight to Luna's weight
Multiply both given ratios
s / p * p / l = 4 / 5 * 6 / 7
p cancel out
s / l = 24 / 35
s : l = 24 : 35
Ratio of socks weight to Luna's weight is 24 : 35
Given: ! || m and p || 9,
M
Am
43
2.
12/11
9/10
P8/7
5/6
16/15
13/14
Note:
Figure not
drawn to
scale.
Given m27 = (x2 – 10x + 50° and m/13 = (10x – 50°, what is the
value of x?
0-10
O 9.487
O 10
13.416
Previous
Answer:
147 cm³
71 cm³
54 cm³
1403π cm³
523π cm³
683π cm³
(picture) what is the answer if x=-2
If x = 2
then
3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #
Therefore, if x = 2 then it's 9
ANSWER ASAP ! NEED ANSWERS
Answer:
B.
Step-by-step explanation:
The midpoint is at y=1
What is the output of this function when the input is 0?
100 percent as a fraction in simplest form.
Answer:
1/1
Step-by-step explanation:
100/100=1/1=1
Answer:
Step-by-step explanation
1/10 would be the answer
As a fraction it would be 1/100 but simplified it will be 1/10
A right triangle is a move from a rectangle to create the shaded region below. find the area of shaded region. be sure to include the correct unit in your answer.
Answer:
55 cm²
Step-by-step explanation:
Area of rectangle is 9 × 7 = 63 cm²
Area of write angled triangle is [tex]\frac{1}{2}[/tex] (7 - 3)(9 - 5) = 8 cm²
The area of shaded region is 63 - 8 = 55 cm²
What is the value of n in (17 × 25) × 4 = n × (25 × 4)?
Answer:
n= 17
Step-by-step explanation:
17×25 = 425
425×4= 1700
25×4=100
1700÷100= 17
Answer:
Step-by-step explanation:
(17×25)×4=n×(25×4)
or 17×(25×4)=n×(25×4)
17=n
∵ (a×b)×c=a×(b×c) [by associative law of multiplication.]
Solve 15=3n+6p, for n
Answer:
[tex]n=5-2p[/tex]
Step-by-step explanation:
STEP 1: Rewrite the equation as 3 n + 6 p = 15 .
[tex]3n+6p=15[/tex]
STEP 2: Subtract 6 p from both sides of the equation.
[tex]3n=15-6p[/tex]
STEP 3: Divide each term by 3 and simplify.
[tex]n=5-2p[/tex]
(3.0 x 10^-2)(7.2 x10^8)
Answer:
the answer is 21600000
Step-by-step explanation:
Solve. 5= 2M minus B divided by M plus b for b
PLEASE HELP :(
Find the Value of Y! Thank u!!!
Answer:
my bad if im wrong but i got y=35
Step-by-step explanation:
When Mei was born, her parents gave her 6 dolls
to start her collection. Each year, she receives
4 new dolls as gifts. What function, f(x), models
the total number of dolls in her collection after x
number of years?
f(x) =
Plz help I will mark brainliest
If her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that, When Mei was born, her parents gave her 6 dolls to start her collection. Each year, she receives 4 new dolls as gifts.
The function, f(x), models the total number of dolls in her collection after x number of years is,
f(x) =6+4x.
Thus, if her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Name the property of operations illustrated by each statement.
a. 11.1+0=11.1
b. 6(2.7+4)=6(4+2.7)
1 2 1 22 c. 3 1 = 3311
( ⋅ )⋅ ⋅(( ⋅ ))
2
3 2 33
d. 18+(−18)=0
Answer:
The answer is B
Step-by-step explanation:
All they did was switch the numbers and if you use distribution it will be equal.
(a^2 - b^2)/(2 + d^3)
a stands for 6, b stands for 4, d stands for 1 over 2, i need explanation too
Answer:
Solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]
Step-by-step explanation:
We are given formula: [tex]\frac{a^2-b^2}{2+d^3}[/tex]
and values a=6, b=4 and d=1/2
We need to put the values of a, b and d in the given equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] and find their result
Putting values in the equation:
[tex]\frac{a^2-b^2}{2+d^3}\\=\frac{(6)^2-(4)^2}{2+(\frac{1}{2})^3}\\=\frac{36-16}{2+\frac{1}{8}}\\=\frac{20}{\frac{2*8+1}{8}}\\=\frac{20}{\frac{17}{8}}\\=\frac{20*8}{17}\\=\frac{160}{17}[/tex]
So, solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]
Which ordered pairs are solutions to the inequality y - 3x < -8?
Select each correct answer.
(1, -5)
(-3, - 2)
(0, -9)
(2, -1)
(5, 4)
Answer:
Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]
Step-by-step explanation:
We need to check which ordered pairs from given options satisfy the inequality [tex]y - 3x < -8[/tex]
Ordered pairs are solutions to inequality if they satisfy the inequality
Checking each options by pitting values of x and y in given inequality
A ) (1, -5)
[tex]-5-3(1)<-8\\-5-3<-8\\-8 < -8 \ (incorrect)[/tex]
So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
B) (-3, - 2)
[tex]-2-3(-3) < -8\\-2-9<-8\\-11 < -8 (true)[/tex]
So, this ordered pair is solution of inequality as it satisfies the inequality.
C) (0, -9)
[tex]-9-3(0)<-8\\-9-0<-8\\-9<-8 \ (true)[/tex]
So, this ordered pair is solution of inequality as it satisfies the inequality.
D) (2, -1)
[tex]-1-3(2)<-8\\-1-6<-8\\-7<-8 \ (false)[/tex]
So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
E) (5, 4)
[tex]4-3(5)<-8\\4-15<-8\\-11<-8 \ (true)[/tex]
So, this ordered pair is solution of inequality as it satisfies the inequality.
So, Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]
Matilda is selling hand-painted vases at a craft fair. She will
have to pay $200 to rent a booth at the fair. The cost of the
paint and other materials to create each vase is $5.50. She is
going to sell each vase for $14.00.
Part 1. Write an inequality to represent the situation in which
Matilda makes a profit. You must define any variable(s) you
use.
Part 2. How many vases must Matilda sell to make a profit?
Explain your reasoning.
Answer:
14x>200+5.5, She must sell 15 or more vases
Step-by-step explanation:
14x>200+5.5
14x>200+5.5
14x>205.5
x>14.68*
She must sell 15 or more vases
*You round up because you cannot sell a partial vase
Answer:
14v > 200 + 5.50v, she will have to sell 24 vases to make a profit
Step-by-step explanation:
It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.
14n > 200 + 5.50n
336 > 332, true
n > 23
Hope This Helps!
geometric of
1/3, 2/9, 4/27, 8/81, 16/243
Ben drove 230 kilometers in 3 hours, and Pia drove 250 kilometers in 3 hours. Without making any calculations, who drove faster?
Answer:
Pia drove faster than Ben, because they drove for the same amount of time, but Pia traveled farther. Pia drove 20 more kilometers than Ben, but she and Ben drove for the same amount of time.
Step-by-step explanation: